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Finding the Fourth Proportional to 106,215.90, 146,577.90 and 58,469

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Solution

The fourth proportional to 106,215.90, 146,577.90 and 58,469 is: 80,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,215.90 : 146,577.90 = 58,469 : x
  2. Step 2: Convert to fraction form
    106,215.90/146,577.90 = 58,469/x
  3. Step 3: Cross multiply
    106,215.90x = 146,577.90 × 58,469
  4. Step 4: Simplify right side
    106,215.90x = 8,570,263,235.10
  5. Step 5: Solve for x
    x = 8,570,263,235.10/106,215.90
  6. Step 6: Final answer
    x = 80,687.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.